1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blagie [28]
3 years ago
5

Given that f(x)= 2x+1 and g(x)= x^2 +2x+1 find (F+g)(2). Find (F.g)(x) find f(x)/g find f(2) +g(-2)?

Mathematics
2 answers:
Pepsi [2]3 years ago
7 0

Answer:

(f+g)(2) = 14

f(g(x)) = 2x^2 + 4x +3

\frac{f(x)}{g(x)} = \frac{2x+1}{x^2+2x+1}

f(2) + g(-2) = 6

Step-by-step explanation:

Function composition and transformation combines functions together using operations such as addition, subtraction, multiplication, division and substitution. To find each, perform the operation with the functions f(x) = 2x+1 and g(x) = x^2 + 2x +1.

(f+g)(x) is the functions f and g added together with 2 substituted for x.

(f+g)(x) = 2x+1 + x^2 +2x + 1 = x^2 + 4x + 2\\(f+g)(2) = 2^2 + 4(2) + 2 = 14

(f·g)(x) is function composition that means f(g(x)) or substitute g(x) into f(x).

f(g(x)) = 2(x^2+2x+1)+1 = 2x^2 + 4x+2 + 1\\f(g(x)) = 2x^2 + 4x +3

f(x) / g(x) is division of the two functions. Division can only occur with polynomials if they share the same factors or things which multiply to create them. If none are present, do not simplify.

\frac{f(x)}{g(x)} = \frac{2x+1}{x^2+2x+1}

This cannot be simplified.

f(2) + g(-2) means find the function value of f at 2 and the function value of g at -2 then add them together.

f(2)+g(-2) = 2(2)+1 + ((-2)^2+2(-2) + 1)\\f(2) + g(-2) = 5 + (4-4+1)\\f(2) + g(-2) = 5 +1 = 6

schepotkina [342]3 years ago
4 0

Answer:

Answer:

Step-by-step explanation:

Function composition and transformation combines functions together using operations such as addition, subtraction, multiplication, division and substitution. To find each, perform the operation with the functions f(x) = 2x+1 and .

(f+g)(x) is the functions f and g added together with 2 substituted for x.

(f·g)(x) is function composition that means f(g(x)) or substitute g(x) into f(x).

f(x) / g(x) is division of the two functions. Division can only occur with polynomials if they share the same factors or things which multiply to create them. If none are present, do not simplify.

This cannot be simplified.

f(2) + g(-2) means find the function value of f at 2 and the function value of g at -2 then add them together.

Step-by-step explanation:

You might be interested in
PLEASE DO NUMBER 5 PLZ I REALLY NEED HELP NO BOTS NO BS
ivann1987 [24]

Answer:

a. -x, y b. x, y c. x, -y

Step-by-step explanation:

hope this helps:)

3 0
3 years ago
Find the angle measure.<br><br> The measure of angle XYZ is
shutvik [7]

Answer:

<h3>∠XYZ = 102</h3><h3></h3>

Step-by-step explanation:

<u>1st step is to solve x from ΔWXY</u>

∠W + ∠X + ∠Y = 180

where ∠W = 5x + 2

           ∠X = 7x + 4

           ∠Y = 180 - (15x - 18)

                 = 198 - 15x

now plugin values into the equation:

5x + 2   +   7x + 4  +  198 - 15x  = 180

combine similar terms:

5x + 7x - 15x = 180 - 2 - 4 - 198

simplify:

-3x = -24

x = -24 / -3

x = 8

<u>2nd step is to substitute x = 8 into ∠XYZ</u>

∠XYZ = 15x - 18

∠XYZ = 15(8)  - 18

∠XYZ = 102

6 0
2 years ago
elaine opened a saving account with a deposit of 1000. The interest on her account is compounded each year at a rate of 2%. Elai
vivado [14]

Answer:

$1,061

Step-by-step explanation:

2% of 1000 is 20.

If 2% is compounded yearly, then

year one- $1,020

year two- $1,040.40

year three- $1,061.21

Rounded to the nearest whole dollar, Elaine would have $1,061 in her savings account after three years.

5 0
3 years ago
Read 2 more answers
What is the following quotient?<br><br> Square root of 120/square root of 30
Mekhanik [1.2K]

Answer:

The square root of 120 is 10.9545.

The square root of 30 is 5.47723.

10.9545 divided by 5.47723 is approximately 2.0000073

7 0
3 years ago
Neil Armstrong weighed more on Earth than he did on the moon because the Earth has a greater
Alchen [17]
<span>Neil Armstrong weighed more on Earth than he did on the moon because the Earth has a greater </span>Gravitational Force.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the slope of the line using (4,-4) (8,-1) (0,-7) (-4,-10)
    11·2 answers
  • Consider the words typically associated with geometry. Are there any words that would be hard to precisely define? What words ca
    6·1 answer
  • A cone has a slant height of 25 inches and a radius of 7 cm what is the volume of the cone.
    7·1 answer
  • HELPPPP, please &amp;’ gracias;))
    11·2 answers
  • Need help!!! “What is an equation of the line”??
    12·2 answers
  • What is the LCM of 12 and 28
    10·2 answers
  • 1km make how many cm​
    11·2 answers
  • I REALLY NEED HELP!!!! Determine how far the intersection of Oak Street and New Street will be from the intersection of Main Str
    9·1 answer
  • Solve the proportion ASAP do both promblem
    11·2 answers
  • Im stuck help i only have 1 hour for this test
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!